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4352141144 = 23132341199223
BaseRepresentation
bin1000000110110100…
…00110011101011000
3102020022022200021202
410003122012131120
532403122004034
61555505253332
7212564406101
oct40332063530
912208280252
104352141144
11193374106a
12a15634248
13544877360
142d401b3a8
151a713347e
hex103686758

4352141144 has 128 divisors (see below), whose sum is σ = 9483264000. Its totient is φ = 1856701440.

The previous prime is 4352141141. The next prime is 4352141147. The reversal of 4352141144 is 4411412534.

It is an interprime number because it is at equal distance from previous prime (4352141141) and next prime (4352141147).

It is a super-2 number, since 2×43521411442 = 37882265074595257472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4352141141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19516217 + ... + 19516439.

It is an arithmetic number, because the mean of its divisors is an integer number (74088000).

Almost surely, 24352141144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4352141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741632000).

4352141144 is an abundant number, since it is smaller than the sum of its proper divisors (5131122856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4352141144 is a wasteful number, since it uses less digits than its factorization.

4352141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 4352141144 is about 65970.7597652172. The cubic root of 4352141144 is about 1632.6796907332.

Adding to 4352141144 its reverse (4411412534), we get a palindrome (8763553678).

The spelling of 4352141144 in words is "four billion, three hundred fifty-two million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 23 26 41 46 52 82 92 104 164 184 199 223 299 328 398 446 533 598 796 892 943 1066 1196 1592 1784 1886 2132 2392 2587 2899 3772 4264 4577 5129 5174 5798 7544 8159 9143 9154 10258 10348 11596 12259 16318 18286 18308 20516 20696 23192 24518 32636 36572 36616 41032 44377 49036 59501 65272 66677 73144 88754 98072 106067 118859 119002 133354 177508 187657 210289 212134 237718 238004 266708 355016 375314 420578 424268 475436 476008 533416 576901 750628 841156 848536 950872 1020671 1153802 1501256 1682312 1819457 2041342 2307604 2439541 2733757 3638914 4082684 4615208 4879082 5467514 7277828 8165368 9758164 10935028 13268723 14555656 19516328 21870056 23652941 26537446 41847511 47305882 53074892 83695022 94611764 106149784 167390044 189223528 334780088 544017643 1088035286 2176070572 4352141144